CIE IGCSE Maths: Extended

Topic Questions

IGCSEMaths: ExtendedCIETopic Questions3. Geometry3.2 Angles in Polygons & Parallel Lines

Syllabus Edition

First teaching 2021

Last exams 2024

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3.2 Angles in Polygons & Parallel Lines

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1
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cie-igcse-2020-oct-nov-p2-tz2-q4

The diagram shows a triangle drawn between a pair of parallel lines.
Find the value of space x spaceand the value of y.


x space equals .................................................     

y space equals .................................................     

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2
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Calculate the size of one interior angle of a regular polygon with 40 sides.

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3
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cie-igcse-2020-mary-jun-p2-tz3-q3

Triangle A B C is isosceles.
Angle A B C equals 32 degree and A B equals A C.
 
Find angle B A C.
 

Angle B A C equals................................................

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4
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Find the interior angle of a regular polygon with 24 sides.

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5
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cie-igcse-q8-angles-on-parallel-lines

Triangle ABC  is isosceles.
AC is parallel to BD.

Find the value of a and the value of b.


a = ..............................................       

b = ..............................................       

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1
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The diagram shows a trapezium.

cie-igcse-2020-may-june-p2-tz1-q6

Work out the value of x.


x equals ..................................................

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2
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A hexagon has five angles that each measure 115°.

Calculate the size of the sixth angle.

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3a
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cie-igcse-2019-may-jun-p2-tz3-q25a

The diagram shows two regular pentagons.
Pentagon space F G H J K is an enlargement of pentagon A B C D E, centre O.

Find angle A E K.
 

Angle A E K = ....................................................

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3b
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The area of pentagon F G H J K is 73.5 space text cm end text squared.
The area of pentagon A B C D E is 6 space text cm end text squared.

Find the ratio    perimeter of pentagon F G H J K : perimeter of pentagon A B C D E    in its simplest form.
 

......................... : .........................

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4
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cie-igcse-2018-oct-nov-p2-tz1-q16

The diagram shows an isosceles triangle ABC with AB = AC.
LCM and BCN are straight lines and LCM is parallel to AB.
Angle ACL = 56°.
 
Find the value of x and the value of y.
 

x = ................................................     
y = ................................................     

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5
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q1-4-2-hard-edexcel-gcse-maths

A B C D is a parallelogram.

Angle A D B space equals space 38 degree.
Angle B E C space equals space 41 degree.
Angle D A B space equals space 120 degree.

Calculate the size of angle x.
You must give reasons for your answer.

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1
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The interior angle of a regular polygon with n sides is 156 degree.

Work out the value of n.


n space equals ................................................

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2a
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cie-igcse-2020-oct-nov-p2-tz3-q6

The diagram shows triangle ABC.
The triangle is reflected in the line BC to give a quadrilateral ABDC.

Write down the mathematical name of the quadrilateral ABDC.

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2b
Sme Calculator2 marks

Find angle ACD.
 

Angle ACD = ................................................

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3
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cie-igcse-2020-mary-jun-p2-tz2-q3

A B equals B C and A B D is a straight line.
 
Find the value of x.
 

x equals.................................................

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4
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A regular polygon has an interior angle of 176°.

Find the number of sides of this polygon.

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5
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cie-igcse-2018-may-jun-1-5

The diagram shows two parallel lines PAQ and SBCT.

AB = AC and angle QAC = 43°.

Find the value of x.


x equals.......................................

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6
Sme Calculator4 marks

cie-igcse-2018-march-p2-15

Complete the statements.


a = ............................................... because ...............................................     
b = ............................................... because ...............................................     

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